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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 969 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the LCM of 8, 4 and 5.
  2. 2.Find the LCM of 30 and 12.
  3. 3.Find the LCM of 4 and 14.
  4. 4.Find the LCM of 10 and 15.
  5. 5.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  6. 6.Find the LCM of 20 and 36.
  7. 7.Find the HCF of 56 and 24.
  8. 8.Find the LCM of 13, 3 and 15.
  9. 9.Find the LCM of 12 and 42.
  10. 10.Find the LCM of 30 and 18.
  11. 11.Find the LCM of 2, 10 and 5.
  12. 12.Find the HCF of 54 and 63.
  13. 13.Find the HCF of 120 and 75.
  14. 14.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  15. 15.Find the HCF of 39 and 65.
  16. 16.Find the LCM of 10, 11 and 2.
  17. 17.Find the HCF of 28 and 49.
  18. 18.Find the LCM of 18 and 4.
  19. 19.Find the LCM of 7 and 2.
  20. 20.Find the LCM of 25 and 45.
  21. 21.Find the LCM of 15, 8 and 6.
  22. 22.Find the HCF of 77 and 33.
  23. 23.Find the HCF of 40 and 56.
  24. 24.Find the HCF of 75 and 135.
  25. 25.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  26. 26.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  27. 27.Find the HCF of 72 and 84.
  28. 28.Find the HCF of 56 and 72.
  29. 29.Find the LCM of 9 and 4.
  30. 30.Find the LCM of 11, 12 and 6.
  31. 31.Find the LCM of 4, 8 and 11.
  32. 32.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  33. 33.Find the LCM of 14 and 4.
  34. 34.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  35. 35.Find the LCM of 4 and 18.
  36. 36.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  37. 37.Find the HCF of 4 and 10.
  38. 38.Find the LCM of 18 and 15.
  39. 39.Find the LCM of 27 and 21.
  40. 40.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?

Answer key

  1. 40
  2. 60
  3. 28
  4. 30
  5. 21
  6. 180
  7. 8
  8. 195
  9. 84
  10. 90
  11. 10
  12. 9
  13. 15
  14. 25
  15. 13
  16. 110
  17. 7
  18. 36
  19. 14
  20. 225
  21. 120
  22. 11
  23. 8
  24. 15
  25. 10
  26. 12
  27. 12
  28. 8
  29. 36
  30. 132
  31. 88
  32. 27
  33. 28
  34. 15
  35. 36
  36. 8
  37. 2
  38. 90
  39. 189
  40. 18

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